133833120 has 48 divisors (see below), whose sum is σ = 421575840. Its totient is φ = 35688704.

The previous prime is 133833097. The next prime is 133833151. The reversal of 133833120 is 21338331.

133833120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×133833120² = 35822608017868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138930 + ... + 139889.

It is an arithmetic number, because the mean of its divisors is an integer number (8782830).

Almost surely, 2^133833120 is an apocalyptic number.

133833120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133833120 is an abundant number, since it is smaller than the sum of its proper divisors (287742720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133833120 is a wasteful number, since it uses less digits than its factorization.

133833120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278837 (or 278829 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 133833120 is about 11568.6265390495. The cubic root of 133833120 is about 511.5104777559.

The spelling of 133833120 in words is "one hundred thirty-three million, eight hundred thirty-three thousand, one hundred twenty".